Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1996-10-21
Nucl.Phys. B492 (1997) 501-525
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
24 pages, latex, no figures
Scientific paper
We describe radiative processes in Quantum Cosmology, from the solutions of the Wheeler De Witt equation. By virtue of this constraint equation, the quantum propagation of gravity is modified by the matter interaction hamiltonian at the level of amplitudes. In this we generalize previous works where gravity was coupled only to expectation values of matter operators. By a ``reduction formula'' we show how to obtain transition amplitudes from the entangled gravity+matter system. Then we show how ``each'' transition among matter constituents of the universe determines dynamically ``its'' background from which a time parameter is defined. Finally, we leave the mini-superspace context by introducing an extended formalism in which the momenta of the exchanged quanta no longer vanish. Then, the concept of spatial displacement emerges from radiative processes like the time parametrization did, thereby unifying the way by which space and time intervals are recovered in quantum cosmology.
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